A) \[{{y}^{2}}=12x+6\]
B) \[{{x}^{2}}=12y\]
C) \[{{x}^{2}}=-12y\]
D) \[{{y}^{2}}=-12x+6\]
Correct Answer: C
Solution :
Since the axis of parabola is y-axis \ Equation of parabola \[{{x}^{2}}=4ay\] Since it passes through (6, ? 3) \ 36 \[=-\,12a\,\,\,\Rightarrow \,a=-3\] \ Equation of parabola is \[{{x}^{2}}=-12y\].
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